Analysis Seminar by Dr. Susanna Dann, Today, Oct. 29th

MATH DEPARTMENT HOSTING ANALYSIS SEMINAR

TITLE:

“Partial solution to the Busemann-Petty problem in  R^n for a particular class of bodies”

ABSTRACT:

The Busemann-Petty problem asks whether origin-symmetric convex bodiesin R^n with smaller central hyperplane sectionsnecessarily have smaller volume. The answer is affirmative forn <= 4 and negative for n >= 5.

In this talk we introduce the class of intersectionbodies in R^n and show that for this class of bodies theproblem has essentially an affirmative answer.

Neill Hall 5W 4:10-5:00 p.m.

 

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